FACTORING POLYNOMIALS

GCF

100

Find the GCF of 48 & 12

12

200

Find the GCF of 63 & 7

7

300

Find the GCF of 8 & 12

4

400

Find the GCF of 7 & 23

1

500

Find the GCF of 144 & 120

24

Factor by GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely: 18x³-6x

6x(3x²-1)

300

Factor completely: 20m²+5m-15

5(4m-3)(m+1)

400

Factor completely: mx²-18mx+81m

m(x-9)²

500

Factor completely:   26y-6y²-8

2(y-4)(-3y+1)

Factoring trinomials

100

Factor completely:

x²+8x+12

(x+6)(x+2)

200

Factor completely:

m²-11m+18

(m-9)(m-2)

300

Factor completely:

x²+5x-24

(x+8)(x-3)

400

Factor completely:

y²-6y-7

(y-7)(y+1)

500

Factor completely:

x²-x-56

(x-8)(x+7)

Factoring Trinomials- harder

100

Factor completely:

2x²+7x+3

(2x+1)(x+3)

200

Factor completely:

5n²+26n+5

(5n+1)(n+5)

300

Factor completely:

3x²-10x+7

(3x-7)(x-1)

400

Factor completely:

7x²-36x+5

(7x-1)(x-5)

500

Factor completely:

2x²-12x+10

2(x-1)(x-5)

Factoring by Difference of 2 Squares

100

Factor completely:

4x²-9

(2x+3)(2x-3)

200

Factor completely:

81x²-1

(9x+1)(9x-1)

300

Factor completely: 

4x²-16

(2x+4)(2x-4)

400

Factor completely:

25x²+30x+9

(5x+3)(5x+3)

500

Factor completely:

9x²-16y²

(3x+4y)(3x-4y)